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2 years ago

Which are solutions of the equation (x + 5)(x – 3) = 0? Check all that apply. x = –15

Mathematics

2 answers:

Natali [406]2 years ago

4 0

Answer:

x= -5 and x= 3

Step-by-step explanation:

You have the factored equation, all you need is to switch the signs on the numbers and that is the answer.

Likurg_2 [28]2 years ago

3 0

Answer:

x = -5 and x = 3

Step-by-step explanation:

It's a quadratic so it has two answers

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The law of cosines is used to find the measure of Z.

Shtirlitz [24]

Answer:

C. $Z=51^{\circ}$

Step-by-step explanation:

We have been given a triangle. We are asked to find the measure of angle Z using Law of cosines.

Law of cosines: $c^2=a^2+b^2-2ab\cdot \text{cos}(C)$ , where, a, b and c are sides opposite to angles A, B and C respectively.

Upon substituting our given values in law of cosines, we will get:

$16^2=19^2+18^2-2(19)(18)\cdot \text{cos}(Z)$

$256=361+324-684\cdot \text{cos}(Z)$

$256=685-684\cdot \text{cos}(Z)$

$256-685=685-685-684\cdot \text{cos}(Z)$

$-429=-684\cdot \text{cos}(Z)$

$\frac{-429}{-684}=\frac{-684\cdot \text{cos}(Z)}{-684}$

$0.627192982456=\text{cos}(Z)$

$\text{cos}(Z)=0.627192982456$

Now, we will use inverse cosine or arc-cos to solve for angle Z as:

$Z=\text{cos}^{-1}(0.627192982456)$

$Z=51.1566718^{\circ}$

$Z\approx 51^{\circ}$

Therefore, the measure of angle Z is approximately 51 degrees.

6 0

2 years ago

Read 2 more answers

A small aircraft flies a 2160-mi round trip in a 45 mi/h wind. Find the average rate of speed for the trip if the aircraft can f

jok3333 [9.3K]

9514 1404 393

Answer:

216 mi/h

Step-by-step explanation:

The time for the trip with the wind is ...

(1080 mi)/(225 +45 mi/h) = 4 h

The time for the trip against the wind is ...

(1080 mi)/(225 -45 mi/h) = 6 h

The average speed for the entire round trip is ...

(2160 mi)/(4 +6 h) = 216 mi/h

8 0

2 years ago

Help i hill give brainliest

lina2011 [118]

Answer:

530.66 cm²

Step-by-step explanation:

take half the diameter of 26 and that gives you the radius of 13

A =π· r²

A = 3.14 x 169

8 0

2 years ago

Find x for,<br> sin⁻¹ 4x + sin⁻¹ 3x = -<img src="https://tex.z-dn.net/?f=%5Cfrac%7B%5Cpi%20%7D%7B2%7D" id="TexFormula1" title="\

Novay_Z [31]

<h2>Explanation:</h2><h2></h2>

Let's solve this problem graphically. Here we have the following equation:

$sin^{-1}(4x) + sin^{-1}(3x) = -\frac{\pi}{2}$

So we can rewrite this as:

$f(x)=sin^{-1}(4x) + sin^{-1}(3x) \\ \\ g(x)= -\frac{\pi}{2}$

So the solution to the equation is the x-value at which the functions f and g intersect. In other words:

$f(x)=g(x) \\ \\ sin^{-1}(4x) + sin^{-1}(3x) = -\frac{\pi}{2}$

Using graphing calculator, we get that this value occurs at:

$\boxed{x=-0.2}$

3 0

3 years ago

Please help me! And please explain how to solve this. Especially questions B, C, and E

kati45 [8]

A. radical 76 is8.6 so false
B. 3 radical 10 is 9.4 true
C. 4 radical 2 is 5.6 so false
D. radical 29 is 5.3 so true
E. 2 radical 50 is 14.14 so false

5 0

3 years ago